163 lines
8.6 KiB
Python
163 lines
8.6 KiB
Python
"""Chord function on exact sounding intervals, separate from scale permission."""
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from __future__ import annotations
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import dataclasses
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import fractions
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import functools
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import generator.harmony
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import generator.model
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import generator.solo.policy
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import generator.solo.types
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@dataclasses.dataclass(frozen=True)
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class Roles:
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basic: frozenset[int]
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specified: frozenset[int]
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degrees: tuple[tuple[int, tuple[int, ...]], ...]
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@functools.lru_cache(maxsize=512)
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def degree_roles(kind, root, degrees):
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basic, specified, labels = set(), set(), {}
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for degree, alteration in degrees:
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pitch = int(root + generator.harmony.degree_semitones(degree, alteration)) % 12
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structural = degree in (1, 3, 5, 6, 7) or degree in (2, 4) and kind in ('suspended-second', 'suspended-fourth')
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(basic if structural else specified).add(pitch)
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labels.setdefault(pitch, []).append(degree)
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return Roles(frozenset(basic), frozenset(specified - basic), tuple((p, tuple(v)) for p, v in sorted(labels.items())))
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def roles(chord):
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if not chord or chord['kind'] == 'none':
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return Roles(frozenset(), frozenset(), ())
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root = chord['root']
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number = generator.model.NATURAL[root['letter']] + generator.model.alteration(root['alter'])
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return degree_roles(chord['kind'], number, tuple(sorted(generator.harmony.degrees(chord).items())))
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@dataclasses.dataclass(frozen=True)
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class Span:
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start: fractions.Fraction
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end: fractions.Fraction
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roles: Roles
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scale: object
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chord: str
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@dataclasses.dataclass(frozen=True)
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class Result:
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valid: bool
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exposure: float
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pending: tuple[generator.solo.types.HarmonicTreatment, ...] = ()
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error: str = ''
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class Harmony:
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def __init__(self, choices):
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self.choices = choices
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self.spans = tuple(Span(c.span.start, c.span.end, roles(c.span.chord), c.scale, generator.harmony.symbol(c.span.chord) if c.span.chord else 'N.C.') for c in choices)
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def at(self, time):
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return next((s for s in self.spans if s.start <= time < s.end), None)
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def segments(self, note):
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return tuple((s, max(note.start, s.start), min(note.end, s.end)) for s in self.spans if s.start < note.end and s.end > note.start)
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def members(self, start, end):
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spans = [s for s in self.spans if s.start < end and s.end > start]
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return frozenset.intersection(*(s.roles.basic for s in spans)) if spans else frozenset()
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def function(self, number, span):
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pitch = number % 12
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return 'basic' if pitch in span.roles.basic else 'specified_extension' if pitch in span.roles.specified else 'mapped_motion' if span.scale and pitch in span.scale.pitches else 'outside_collection'
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def step(self, first, second, time):
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span = self.at(time)
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if not span or not span.scale:
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return False
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try:
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return abs(generator.solo.types.scale_index(span.scale, first) - generator.solo.types.scale_index(span.scale, second)) == 1
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except ValueError:
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return False
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def connected_motion(self, notes, index):
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if not 0 < index < len(notes) - 1:
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return ''
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before, note, after = notes[index - 1:index + 2]
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if before.end != note.start or note.end != after.start:
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return ''
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a, b, c = (n.pitch.number() for n in (before, note, after))
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if self.step(a, b, note.start) and self.step(b, c, note.start):
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return 'neighbor' if a == c else 'passing' if (b - a) * (c - b) > 0 else ''
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return ''
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def evaluate(self, notes, treatments=(), *, until=None, complete=False):
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notes = generator.solo.types.sounding_notes(notes)
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until = until if until is not None else max((n.end for n in notes), default=fractions.Fraction())
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pending, valid_contracts = [], []
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for treatment in treatments:
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if treatment.start >= until:
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continue
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if treatment.kind == 'color':
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spans = [s for s in self.spans if s.start < treatment.end and s.end > treatment.start]
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if not spans or any(treatment.pitch % 12 not in s.roles.basic | s.roles.specified for s in spans):
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return Result(False, 0, error=f'{treatment.id}: color is not specified by the overlapped harmony')
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valid_contracts.append(treatment)
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continue
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if treatment.kind != 'suspension' or treatment.resolution is None or treatment.deadline is None:
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return Result(False, 0, error=f'{treatment.id}: incomplete harmonic treatment')
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held = next((n for n in notes if n.pitch.number() == treatment.pitch and n.start <= treatment.start - treatment.preparation and n.end > treatment.start), None)
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if held is None:
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return Result(False, 0, error=f'{treatment.id}: suspension lacks sounding preparation')
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if treatment.pitch % 12 not in self.members(treatment.start - treatment.preparation, treatment.start):
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return Result(False, 0, error=f'{treatment.id}: preparation is not a chord member')
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resolution = next((n for n in notes if n.start == held.end and n.pitch.number() == treatment.resolution and n.start <= treatment.deadline), None)
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if resolution:
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span = self.at(resolution.start)
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if not span or treatment.resolution % 12 not in span.roles.basic or not self.step(treatment.pitch, treatment.resolution, resolution.start):
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return Result(False, 0, error=f'{treatment.id}: resolution is not an adjacent chord member')
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elif complete or until > treatment.deadline or any(n.start >= held.end for n in notes if n is not held):
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return Result(False, 0, error=f'{treatment.id}: unresolved suspension at deadline {treatment.deadline}')
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else:
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pending.append(treatment)
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valid_contracts.append(treatment)
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exposed, sounding = 0.0, 0.0
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for index, note in enumerate(notes):
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number = note.pitch.number()
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duration = note.end - note.start
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sounding += float(duration)
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covered = note.start
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for span, start, end in self.segments(note):
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if start > covered or not span.scale or number % 12 not in span.scale.pitches:
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return Result(False, 0, error=f'{note.pitch.label()} at {start}-{end}: outside mapped collection or missing harmony')
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covered = end
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function = self.function(number, span)
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if function == 'basic' or note.role == 'quote':
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continue
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contract = next((t for t in valid_contracts if t.pitch == number and t.start <= start and t.end >= end), None)
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if duration >= generator.solo.policy.DEFAULT.long_note and contract is None:
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return Result(False, 0, error=f'{note.pitch.label()} at {start}-{end} over {span.chord}: sustained {function} without a planned treatment')
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connected = duration < generator.solo.policy.DEFAULT.stopping_note and self.connected_motion(notes, index)
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cost = 0 if contract or connected else 1 if duration >= generator.solo.policy.DEFAULT.stopping_note else 0.25
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exposed += float(end - start) * cost
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if covered < note.end:
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return Result(False, 0, error=f'{note.pitch.label()} at {covered}: missing harmonic coverage')
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return Result(True, exposed / max(sounding, 0.001), tuple(pending))
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def describe(self, notes, treatments=()):
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notes = generator.solo.types.sounding_notes(notes)
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result = []
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for index, note in enumerate(notes):
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for span, start, end in self.segments(note):
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result.append({'start': str(start), 'end': str(end), 'attack': str(note.start), 'sounding_duration': str(note.end - note.start), 'pitch': note.pitch.label(), 'chord': span.chord, 'function': self.function(note.pitch.number(), span), 'motion': self.connected_motion(notes, index), 'protected': note.role == 'quote', 'treatments': [t.id for t in treatments if t.pitch == note.pitch.number() and t.start <= start and t.end >= end]})
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return result
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def anchor_note(anchor, notes, *, until=None):
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for note in notes:
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if note.pitch.number() != anchor.pitch.number():
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continue
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arrival = note.start if anchor.onset_required else max(note.start, anchor.earliest)
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needed = max(arrival + anchor.duration, anchor.hold_until or arrival)
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if anchor.earliest <= arrival <= anchor.latest and note.start <= arrival < note.end and note.end >= min(needed, until if until is not None else needed):
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return note
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return None
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def anchors_valid(anchors, notes, until, *, complete=False, closure='open'):
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for anchor in anchors:
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if anchor.earliest >= until and not complete:
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continue
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note = anchor_note(anchor, notes, until=None if complete else until)
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if note is None and (complete or until > anchor.latest):
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return False, f'{anchor.id}: required {anchor.role} arrival {anchor.earliest}-{anchor.latest} on {anchor.pitch.label()} not completed'
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if note and anchor.role == 'terminal' and closure == 'closed' and any(n.start > note.start for n in notes):
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return False, f'{anchor.id}: terminal anchor touched then abandoned'
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return True, ''
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